3 papers
math.CA2011★ 4 cited
On uniqueness of the Laplace transform on time scales
Basak Karpuz
After introducing the concept of null functions, we shall present a uniqueness result in the sense of the null functions for the Laplace transform on time scales with arbitrary gra…
math.CA2011★ 4 cited
Basics of Volterra integral equations on time scales
Basak Karpuz
This paper studies existence and uniqueness of solutions to generalized Volterra integral equations. Since our proof for existence and uniqueness does not make use of Banach fixed…
math.CA2010
Oscillation and stability of first-order delay differential equations with retarded impulses
Basak Karpuz
In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves del…